My daughter has her 2 month check-up and shots tomorrow, is it okay to delay her shots until 4 months?

I'm just very nervous about it, I know lots of babies get them every day and are fine but it just seems like so much to put into a little baby.

My mom and mother inlaw were against vaccines so neither my husband or myself were ever vaccinated, so I'm not very informed on the matter.

Please be kind I'm just looking for insight or affirmation, from either side of the fence.